Numerical solution of transient, free surface problems in porous media

Vaughan R Voller, S. Peng, Y. F. Chen

Research output: Contribution to journalArticlepeer-review

23 Scopus citations

Abstract

The focus of this paper is the development of numerical schemes for tracking the moving fluid surface during the filling of a porous medium (e.g., polymer injection into a porous mold cavity). Performing a mass balance calculation on an arbitrarily deforming control volume, leads to a general governing filling equation. From this equation, a general, fully time implicit, numerical scheme based on a finite volume space discretization is derived. Two numerical schemes are developed: (1) a fatty deforming grid scheme, which explicitly tracks the location of the filling front, and (2) a fixed grid scheme, that employs in auxiliary variable to locate the front. The validity of the two schemes is demonstrated by solving a variety of one- and two-dimensional problems: both approaches provide predictions with similar accuracy and agree well with available analytical solutions.

Original languageEnglish (US)
Pages (from-to)2889-2906
Number of pages18
JournalInternational Journal for Numerical Methods in Engineering
Volume39
Issue number17
DOIs
StatePublished - Jan 1 1996

Keywords

  • Finite volume
  • Free surface
  • Mold filling
  • Numerical method
  • Polymer molding
  • Porous media

Fingerprint Dive into the research topics of 'Numerical solution of transient, free surface problems in porous media'. Together they form a unique fingerprint.

Cite this